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A Comparison of Hořava-Lifshitz Gravity and Einstein Gravity through the Gravitational Deflection of Massive Body around Black Holes

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Hořava has proposed a renormalizable gravity theory with higher spatial derivatives in four dimensions. This theory may be regarded as a UV complete candidate for general relativity. After the proposal… Click to show full abstract

Hořava has proposed a renormalizable gravity theory with higher spatial derivatives in four dimensions. This theory may be regarded as a UV complete candidate for general relativity. After the proposal of this theory, Kehagias and Sfetsos have found a new asymptotically flat black hole solution in Hořava–Lifshitz gravity. In recent times, a new test of gravity theory is suggested that assumes the deflection of the massive body around a black hole. In this paper, we will study the effect of the Hořava–Lifshitz parameters on the black hole deflection angle and emphasize those features that permit a comparison of Hořava–Lifshitz to Einstein gravity.

Keywords: deflection massive; gravity; lifshitz gravity; ava lifshitz; massive body

Journal Title: Axioms
Year Published: 2023

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